Tom M. Apostol

Modular Functions and Dirichlet Series in Number Theory

Gebundenes Buch

Produktbeschreibung

A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke's theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr's theory of equivalence of general Dirichlet series.

Produktdetails

• Graduate Texts in Mathematics 41
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 10398455
• 2. Aufl.
• Seitenzahl: 224
• Erscheinungstermin: 22. Mai 1997
• Englisch
• Abmessung: 241mm x 160mm x 18mm
• Gewicht: 507g
• ISBN-13: 9780387971278
• ISBN-10: 0387971270
• Artikelnr.: 21538028

Autorenporträt

Tom A. Apostol, Emeritus Professor at the California Institute of Technology, is the author of several highly regarded texts on calculus, analysis, and number theory, and is Director of Project MATHEMATICS!, a series of computer-animated mathematics videotapes.

Inhaltsangabe

Elliptic Functions.- The Modular Group and Modular Functions.- The Dedekind eta Function.- Congruences for the Coefficients of the Modular Function j.- Rademacher's Series for the Partition Function.- Modular Forms with Multiplicative Coefficients.- Kronecker's Theorem with Applications.- General Dirichlet Series and Bohr's Equivalence Theorem.- Supplement.- Bibliography.- Index.

Rezensionen

From the reviews of the second edition:

"Apostol is an excellent writer of mathematics and the topics that are covered in this book are covered thoroughly in a concise, precise manner. ... the writing is characterized by its easy, readable, fluid style. Each chapter is complemented with a nice set of exercises." (Álvaro Lozano-Robledo, The Mathematical Association of America, June, 2011)